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Simplifying 14 + -4d = 2(17 + -1d) 14 + -4d = (17 * 2 + -1d * 2) 14 + -4d = (34 + -2d) Solving 14 + -4d = 34 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 14 + -4d + 2d = 34 + -2d + 2d Combine like terms: -4d + 2d = -2d 14 + -2d = 34 + -2d + 2d Combine like terms: -2d + 2d = 0 14 + -2d = 34 + 0 14 + -2d = 34 Add '-14' to each side of the equation. 14 + -14 + -2d = 34 + -14 Combine like terms: 14 + -14 = 0 0 + -2d = 34 + -14 -2d = 34 + -14 Combine like terms: 34 + -14 = 20 -2d = 20 Divide each side by '-2'. d = -10 Simplifying d = -10
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